%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW497_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:41 PM UTC 2026
% Result : Theorem 5.57s 1.57s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 6 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
real: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
complex1: ( real * real ) > complex ).
tff(func_def_1,type,
complex_case:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex ) > X0 ) ).
tff(func_def_2,type,
complex_rec:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex ) > X0 ) ).
tff(func_def_3,type,
fundam1563812824_csqrt: complex > complex ).
tff(func_def_4,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_6,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_7,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_8,type,
bit0: int > int ).
tff(func_def_9,type,
bit1: int > int ).
tff(func_def_10,type,
pls: int ).
tff(func_def_11,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_12,type,
sqrt: real > real ).
tff(func_def_13,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_14,type,
norm_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
x: real ).
tff(func_def_19,type,
y: real ).
tff(func_def_20,type,
z: complex ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
linord581940658strict:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
real_n2089651433ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
real_n1866405975lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
pp: bool > $o ).
tff(f1,axiom,
norm_norm(complex,z) = one_one(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
tff(f2,axiom,
z = complex1(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_z) ).
tff(f26,axiom,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_nat__1__add__1) ).
tff(f27,axiom,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_Bit1__def) ).
tff(f29,axiom,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_add__Pls__right) ).
tff(f31,axiom,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_Bit0__def) ).
tff(f56,axiom,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_complex__norm) ).
tff(f64,axiom,
! [X0: real] :
( ( sqrt(X0) = one_one(real) )
<=> ( X0 = one_one(real) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_real__sqrt__eq__1__iff) ).
tff(f178,conjecture,
plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))) = one_one(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f179,negated_conjecture,
( ( ~ plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))) ) = one_one(real) ),
inference(negated_conjecture,[status(cth)],[f178]) ).
tff(f180,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))),
inference(flattening,[],[f179]) ).
tff(f211,plain,
! [X0: real] :
( ( ( sqrt(X0) = one_one(real) )
| ( one_one(real) != X0 ) )
& ( ( X0 = one_one(real) )
| ( one_one(real) != sqrt(X0) ) ) ),
inference(nnf_transformation,[],[f64]) ).
tff(f218,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f180]) ).
tff(f222,plain,
! [X0: real] :
( ( one_one(real) != sqrt(X0) )
| ( one_one(real) = X0 ) ),
inference(cnf_transformation,[],[f211]) ).
tff(f227,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f228,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f26]) ).
tff(f230,plain,
norm_norm(complex,z) = one_one(real),
inference(cnf_transformation,[],[f1]) ).
tff(f233,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))))) ),
inference(cnf_transformation,[],[f56]) ).
tff(f235,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f260,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f29]) ).
tff(f264,plain,
z = complex1(x,y),
inference(cnf_transformation,[],[f2]) ).
tff(f265,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(real,y,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
inference(definition_unfolding,[],[f218,f235,f227,f235,f227]) ).
tff(f268,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
inference(definition_unfolding,[],[f228,f235,f227]) ).
tff(f272,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(real,X0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))))) ),
inference(definition_unfolding,[],[f233,f235,f227,f235,f227]) ).
tff(f300,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))),power_power(real,X0,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))))) ),
inference(forward_demodulation,[],[f272,f260]) ).
tff(f304,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),
inference(forward_demodulation,[],[f268,f260]) ).
tff(f307,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)))),power_power(real,y,number_number_of(nat,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))))),
inference(forward_demodulation,[],[f265,f260]) ).
tff(f309,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(real,X0,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))))) ),
inference(forward_demodulation,[],[f300,f260]) ).
tff(f313,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,one_one(int),one_one(int))),
inference(forward_demodulation,[],[f304,f260]) ).
tff(f316,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(real,y,number_number_of(nat,plus_plus(int,one_one(int),one_one(int))))),
inference(forward_demodulation,[],[f307,f260]) ).
tff(f319,plain,
one_one(real) != plus_plus(real,power_power(real,x,plus_plus(nat,one_one(nat),one_one(nat))),power_power(real,y,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_demodulation,[],[f316,f313]) ).
tff(f752,plain,
! [X0: real,X1: real] :
( ( one_one(real) != norm_norm(complex,complex1(X0,X1)) )
| ( one_one(real) = plus_plus(real,power_power(real,X0,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(real,X1,number_number_of(nat,plus_plus(int,one_one(int),one_one(int))))) ) ),
inference(superposition,[],[f222,f309]) ).
tff(f753,plain,
! [X0: real,X1: real] :
( ( one_one(real) != norm_norm(complex,complex1(X0,X1)) )
| ( one_one(real) = plus_plus(real,power_power(real,X0,plus_plus(nat,one_one(nat),one_one(nat))),power_power(real,X1,plus_plus(nat,one_one(nat),one_one(nat)))) ) ),
inference(forward_demodulation,[],[f752,f313]) ).
tff(f3415,plain,
( ( norm_norm(complex,z) != one_one(real) )
| ( one_one(real) = plus_plus(real,power_power(real,x,plus_plus(nat,one_one(nat),one_one(nat))),power_power(real,y,plus_plus(nat,one_one(nat),one_one(nat)))) ) ),
inference(superposition,[],[f753,f264]) ).
tff(f3426,plain,
one_one(real) = plus_plus(real,power_power(real,x,plus_plus(nat,one_one(nat),one_one(nat))),power_power(real,y,plus_plus(nat,one_one(nat),one_one(nat)))),
inference(forward_subsumption_resolution,[],[f3415,f230]) ).
tff(f3427,plain,
$false,
inference(forward_subsumption_resolution,[],[f3426,f319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW497_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 14:17:25 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.05/1.37 % (3411858)Detected formulas, will run a generic FOF schedule.
% 4.05/1.37 % (3411867)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2035513985:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.05/1.37 % (3411869)dis-21_1_sil=8000:lcm=predicate:random_seed=303548692:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.05/1.37 % (3411863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2636430394:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.05/1.37 % (3411866)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1144660705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.05/1.37 % (3411864)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2449696463:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.05/1.37 % (3411865)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1366040227:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.05/1.37 % (3411866)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.05/1.37 % (3411866)Refutation not found, incomplete strategy
% 4.05/1.37 % (3411866)------------------------------
% 4.05/1.37 % (3411866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411866)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411866)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.37 % (3411866)Time elapsed: 0.003 s
% 4.05/1.37 % (3411866)Peak memory usage: 88 MB
% 4.05/1.37 % (3411866)Instructions burned: 3 (million)
% 4.05/1.37 % (3411865)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.05/1.37 % (3411868)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=827317193:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.05/1.37 % (3411867)Instruction limit reached!
% 4.05/1.37 % (3411867)------------------------------
% 4.05/1.37 % (3411867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411867)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411867)Termination reason: Instruction limit
% 4.05/1.37 % (3411867)Termination phase: Saturation
% 4.05/1.37 % (3411867)Time elapsed: 0.036 s
% 4.05/1.37 % (3411867)Peak memory usage: 89 MB
% 4.05/1.37 % (3411867)Instructions burned: 122 (million)
% 4.05/1.37 % (3411869)Instruction limit reached!
% 4.05/1.37 % (3411869)------------------------------
% 4.05/1.37 % (3411869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411869)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411869)Termination reason: Instruction limit
% 4.05/1.37 % (3411869)Termination phase: Saturation
% 4.05/1.37 % (3411869)Time elapsed: 0.062 s
% 4.05/1.37 % (3411869)Peak memory usage: 89 MB
% 4.05/1.37 % (3411869)Instructions burned: 130 (million)
% 4.05/1.37 % (3411868)Instruction limit reached!
% 4.05/1.37 % (3411868)------------------------------
% 4.05/1.37 % (3411868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411868)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411868)Termination reason: Instruction limit
% 4.05/1.37 % (3411868)Termination phase: Saturation
% 4.05/1.37 % (3411868)Time elapsed: 0.084 s
% 4.05/1.37 % (3411868)Peak memory usage: 90 MB
% 4.05/1.37 % (3411868)Instructions burned: 139 (million)
% 4.05/1.37 % (3411877)lrs+10_1_sil=8000:sp=occurrence:random_seed=2875532508:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.05/1.37 % (3411878)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4137846004:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.05/1.37 % (3411877)Instruction limit reached!
% 4.05/1.37 % (3411877)------------------------------
% 4.05/1.37 % (3411877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411877)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411877)Termination reason: Instruction limit
% 4.05/1.37 % (3411877)Termination phase: Saturation
% 4.05/1.37 % (3411877)Time elapsed: 0.081 s
% 4.05/1.37 % (3411877)Peak memory usage: 90 MB
% 4.05/1.37 % (3411877)Instructions burned: 289 (million)
% 4.05/1.37 % (3411879)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1959160914:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.05/1.37 % (3411866)------------------------------
% 4.05/1.37 % (3411866)------------------------------
% 4.05/1.37 % (3411878)Instruction limit reached!
% 4.05/1.37 % (3411878)------------------------------
% 4.05/1.37 % (3411878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.37 % (3411878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.37 % (3411878)CaDiCaL version: 2.1.3
% 4.05/1.37 % (3411878)Termination reason: Instruction limit
% 4.05/1.37 % (3411878)Termination phase: Saturation
% 4.05/1.37 % (3411878)Time elapsed: 0.085 s
% 4.05/1.38 % (3411878)Peak memory usage: 89 MB
% 4.05/1.38 % (3411878)Instructions burned: 158 (million)
% 4.05/1.38 % (3411882)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3316706246:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.05/1.38 % (3411879)First to succeed.
% 4.05/1.38 % (3411879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3411858"
% 4.05/1.38 % (3411882)Instruction limit reached!
% 4.05/1.38 % (3411882)------------------------------
% 4.05/1.38 % (3411882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.38 % (3411882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.38 % (3411882)CaDiCaL version: 2.1.3
% 4.05/1.38 % (3411882)Termination reason: Instruction limit
% 4.05/1.38 % (3411882)Termination phase: Saturation
% 4.05/1.38 % (3411882)Time elapsed: 0.073 s
% 4.05/1.38 % (3411882)Peak memory usage: 90 MB
% 4.05/1.38 % (3411882)Instructions burned: 251 (million)
% 4.05/1.38 % Exception at run slice level
% 4.05/1.38 User error: GNN currently only supports monomorphic FOL.
% 4.05/1.38 % Exception at run slice level
% 4.05/1.38 User error: % Exception at run slice levelGNN currently only supports monomorphic FOL.
% 4.05/1.38
% 4.05/1.38 User error: GNN currently only supports monomorphic FOL.
% 4.05/1.38 % (3411884)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1289892592:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.05/1.38 % (3411884)Refutation not found, incomplete strategy
% 4.05/1.38 % (3411884)------------------------------
% 4.05/1.38 % (3411884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.38 % (3411884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.38 % (3411884)CaDiCaL version: 2.1.3
% 4.05/1.38 % (3411884)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.38 % (3411884)Time elapsed: 0.006 s
% 4.05/1.38 % (3411884)Peak memory usage: 89 MB
% 4.05/1.38 % (3411884)Instructions burned: 8 (million)
% 4.05/1.38 % (3411885)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3777361607:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.05/1.38 % (3411887)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=714308411:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.05/1.38 % (3411887)Instruction limit reached!
% 4.05/1.38 % (3411887)------------------------------
% 4.05/1.38 % (3411887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.38 % (3411887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.38 % (3411887)CaDiCaL version: 2.1.3
% 4.05/1.38 % (3411887)Termination reason: Instruction limit
% 4.05/1.38 % (3411887)Termination phase: Saturation
% 4.05/1.38 % (3411887)Time elapsed: 0.036 s
% 4.05/1.38 % (3411887)Peak memory usage: 90 MB
% 4.05/1.38 % (3411887)Instructions burned: 115 (million)
% 4.05/1.38 % (3411890)lrs+10_1_sil=8000:sp=occurrence:random_seed=3043449134:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.05/1.38 % (3411889)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=331033170:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.05/1.38 % (3411888)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=103109935:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.57/1.57 % (3411888)Refutation not found, incomplete strategy
% 5.57/1.57 % (3411888)------------------------------
% 5.57/1.57 % (3411888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.57 % (3411888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.57 % (3411888)CaDiCaL version: 2.1.3
% 5.57/1.57 % (3411888)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.57 % (3411888)Time elapsed: 0.005 s
% 5.57/1.57 % (3411888)Peak memory usage: 88 MB
% 5.57/1.57 % (3411888)Instructions burned: 9 (million)
% 5.57/1.57 % (3411879)Refutation found. Thanks to Tanya!
% 5.57/1.57 % SZS status Theorem for theBenchmark
% 5.57/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.57/1.57 % (3411879)------------------------------
% 5.57/1.57 % (3411879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.57 % (3411879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.57 % (3411879)CaDiCaL version: 2.1.3
% 5.57/1.57 % (3411879)Termination reason: Refutation
% 5.57/1.57 % (3411879)Time elapsed: 0.085 s
% 5.57/1.57 % (3411879)Peak memory usage: 90 MB
% 5.57/1.57 % (3411879)Instructions burned: 161 (million)
% 5.57/1.57 % (3411879)------------------------------
% 5.57/1.57 % (3411879)------------------------------
% 5.57/1.57 % (3411858)Success in time 0.709 s
% 5.57/1.57 % Vampire exiting
%------------------------------------------------------------------------------